Open Research Index

871 records

  1. Brill--Noether generality and gonality for chains of cycles and theta graphs

    Nathan Pflueger

    Palomar RegistrySep 5, 2026math.COmachine-checkedscore 0

  2. The optimal universal exponential base for Euclidean kissing numbers

    Sébastien Palcoux

    Palomar RegistrySep 5, 2026math.MGmachine-checkedscore 0

  3. N4Code: optimal finite-length block codes of size four for binary symmetric channels

    Shenghao Yang, Yanyan Dong

    Palomar RegistrySep 5, 2026cs.ITmachine-checkedscore 0

  4. Exact four-dimensional projection quality of the OneTwo Sobol' table at 65,536 points

    Lennart Rudolph

    Palomar RegistrySep 5, 2026math.NAmachine-checkedscore 0

  5. Li's criterion for the Riemann Hypothesis

    Nicholas Bulka

    Palomar RegistrySep 5, 2026math.NTmachine-checkedscore 0

  6. The global Kronecker–Weber theorem in Lean 4

    Naganori Yamaguchi

    Palomar RegistrySep 5, 2026math.NTmachine-checkedscore 0

  7. Even-order Grünschloß–Keller permutation nets: net property and tiling distance

    Lennart Rudolph

    Palomar RegistrySep 4, 2026math.NAmachine-checkedscore 0

  8. Combinatorial core of the K₃,₃,₁-redundancy theorem for tetrahedral balls

    Lennart Rudolph

    Palomar RegistrySep 4, 2026math.COmachine-checkedscore 0

  9. A kernel-checked exclusion certificate for Erdős Problem 647, to 10^8

    Ibrahim Mian, Shayaan Siddique

    Palomar RegistrySep 4, 2026cs.LOmachine-checkedscore 0

  10. Sharp arithmetic separation in chiral Padovan histories

    Stephanie Alexander

    Palomar RegistrySep 4, 2026math.DSmachine-checkedscore 0

  11. Carlet's Kasami cyclic-additive conjecture

    D.S. McNeil, Gábor P. Nagy, Attila Vajda

    Palomar RegistrySep 4, 2026math.COmachine-checkedscore 0

  12. rwst/Even-Integral

    Ralf Stephan (direction, review, paper author)

    Palomar RegistrySep 3, 2026math.NTmachine-checkedscore 0

  13. lennrt/palomar-formalizations

    Lennart Rudolph

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  14. lennrt/palomar-formalizations

    Lennart Rudolph

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  15. lennrt/palomar-formalizations

    Lennart Rudolph

    Palomar RegistrySep 3, 2026cs.DSmachine-checkedscore 0

  16. lennrt/palomar-formalizations

    Lennart Rudolph

    Palomar RegistrySep 3, 2026cs.GRmachine-checkedscore 0

  17. lennrt/palomar-formalizations

    Lennart Rudolph

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  18. ukiyois/hs-virial-nbc-identity

    ukiyois

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  19. Levi–Civita connections and metric-determined curvature invariants in Lean

    Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

    Palomar RegistrySep 3, 2026math.DGmachine-checkedscore 0

  20. Ore's and Dirac's Theorems on Hamiltonian Cycles

    Noah Cohen

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  21. A proof of Conway's refinement conjecture

    Dan Abramov

    Palomar RegistrySep 3, 2026math.LOmachine-checkedscore 0

  22. Tverberg's Partition Theorem, 1D Theorem, and Colorful 1D Theorem

    Noah Cohen

    Palomar RegistrySep 3, 2026math.MGmachine-checkedscore 0

  23. Radial harmonic functions on a real inner product space: the classification, the Laplacian of radial functions, and the stability of circular orbits for power-law central forces; Ehrenfest's dimensionality argument (1917) as the application

    Stephanie Alexander

    Palomar RegistrySep 3, 2026math.CAmachine-checkedscore 0

  24. Sharp bounds for intervals in finite subgroup lattices

    Sébastien Palcoux

    Palomar RegistrySep 3, 2026math.GRmachine-checkedscore 0

  25. Erdős Problem 684: f(n)/log n is unbounded — a Lean 4 formalization of arXiv:2604.23784

    Ji Ho Bae

    Palomar RegistrySep 3, 2026math.NTmachine-checkedscore 0

  26. Tucker's Lemma: Full Combinatorial & Topological Parity Suite in 1D and 2D

    Noah Cohen

    Palomar RegistrySep 3, 2026math.COmachine-checkedscore 0

  27. Actual F₂ flag homology and the dense extremal counterexample family

    Lennart Rudolph

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  28. Salem's theorem: every Pisot number is a two-sided limit of Salem numbers

    Stephanie Alexander

    Palomar RegistrySep 2, 2026math.NTmachine-checkedscore 0

  29. Nash's isometric embedding theorem for closed manifolds (Günther's proof)

    David Wiygul

    Palomar RegistrySep 2, 2026math.DGmachine-checkedscore 0

  30. The De Bruijn–Erdős Theorem on Incidence Geometry and Near-Pencil Tightness

    Noah Cohen

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  31. Erdős Problem 625: chromatic versus cochromatic number of a random graph

    Samuil Petkov

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  32. An explicit periodic signing of C_n(1,2) below the conjectured minimum

    Lennart Rudolph

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  33. Mean Value for Random Ideal Lattices: Lean formalization

    Nihar Gargava

    Palomar RegistrySep 2, 2026math.NTmachine-checkedscore 0

  34. The Kőnig–Egerváry Theorem on Matchings and Vertex Covers in Bipartite Graphs

    Noah Cohen

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  35. heilbronn-convex-3-8

    Tej Stead

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  36. Chip-Firing with Lean 4

    Dhyey Dharmendrakumar Mavani, Nathan Pflueger

    Palomar RegistrySep 2, 2026math.COmachine-checkedscore 0

  37. The trace form of a tensor product of algebras and the signature product rule, with the trace forms of Q[x]/(x^3 - x - 1), Q[x]/(x^4 - x - 1) and their compositum as instances

    Stephanie Alexander

    Palomar RegistrySep 2, 2026math.NTmachine-checkedscore 0

  38. JaTaSn/lattice-line-covers

    Jan Snellman

    Palomar RegistrySep 1, 2026math.COmachine-checkedscore 0

  39. Marshall Hall's theorem through finite cores

    Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

    Palomar RegistrySep 1, 2026math.GRmachine-checkedscore 0

  40. lean-operator-theory

    Ezzeri Esa

    Palomar RegistrySep 1, 2026math.FAmachine-checkedscore 0

  41. The entangled Born correlations: a mixed-state entanglement witness through the Born rule forced on the composite algebra

    Stephanie Alexander

    Palomar RegistrySep 1, 2026quant-phmachine-checkedscore 0

  42. lean-spectral-theory

    Ezzeri Esa

    Palomar RegistrySep 1, 2026math.FAmachine-checkedscore 0

  43. hadamard-b-formal: the bordered Goethals-Seidel characterisation, the s=1 layer, and Theorem D

    JD Jones

    Palomar RegistrySep 1, 2026math.COmachine-checkedscore 0

  44. Native Lean equality-saturation certificate checking

    Arthur Freitas Ramos

    Palomar RegistrySep 1, 2026cs.LOmachine-checkedscore 0

  45. Only two morphic numbers: the Aarts-Fokkink-Kruijtzer classification of the golden ratio and the plastic number

    Stephanie Alexander

    Palomar RegistrySep 1, 2026math.NTmachine-checkedscore 0

  46. Howson's theorem through finite cores and Kurosh decomposition

    Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

    Palomar RegistrySep 1, 2026math.GRmachine-checkedscore 0

  47. Proof-Carrying Decreasing-Diagram Confluence Certificates

    Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

    Palomar RegistrySep 1, 2026cs.LOmachine-checkedscore 0

  48. Arrow's theorem via Fourier analysis

    Joris Roos

    Palomar RegistrySep 1, 2026cs.DMmachine-checkedscore 0

  49. The golden family's boundary at n = 3: general-n theorems for x^n = x + 1

    Stephanie Alexander

    Palomar RegistrySep 1, 2026math.NTmachine-checkedscore 0

  50. Grushko--Neumann rank additivity for free products

    Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

    Palomar RegistrySep 1, 2026math.GRmachine-checkedscore 0

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